In the EAI sampling problem, the population mean is $71,700 and the population standard deviation is $4000. For n = 30, there is a 0.5878 probability of obtaining a sample mean within :l:$600 of the population mean. Use z-table. a. What is the probability that E is within $600 of the population mean if a sample of size 60 is used (to 4 decimals)? b. Answer part (a) for a sample of size 120 (to 4 decimals)